Is there a good epistemological argument against platonism?

Analysis 66 (2):135–141 (2006)
Abstract
Platonism in the philosophy of mathematics is the doctrine that there are mathematical objects such as numbers. John Burgess and Gideon Rosen have argued that that there is no good epistemological argument against platonism. They propose a dilemma, claiming that epistemological arguments against platonism either rely on a dubious epistemology, or resemble a dubious sceptical argument concerning perceptual knowledge. Against Burgess and Rosen, I show that an epistemological anti- platonist argument proposed by Hartry Field avoids both horns of their dilemma.
Keywords nominalism   mathematics
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DOI 10.1111/j.1467-8284.2006.00601.x
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References found in this work BETA
Nominalism.Zoltán Gendler Szabó - 2003 - In Michael J. Loux & Dean W. Zimmerman (eds.), The Oxford Handbook of Metaphysics. Oxford University Press.
Realism in Mathematics.Penelope Maddy - 1990 - Oxford University Prress.
Mathematical Truth.Paul Benacerraf - 1973 - Journal of Philosophy 70 (19):661-679.

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Citations of this work BETA
In Defence of Error Theory.Chris Daly & David Liggins - 2010 - Philosophical Studies 149 (2):209-230.
Anti-Nominalism Reconsidered.David Liggins - 2007 - Philosophical Quarterly 57 (226):104–111.
There's No Future in No-Futurism.Jonathan Tallant - 2011 - Erkenntnis 74 (1):37-52.

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